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Finding the Third Proportional to 124,207.17 and 185,809.57

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Solution

The third proportional to 124,207.17 and 185,809.57 is: 277,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,207.17 : 185,809.57 = 185,809.57 : x
  2. Step 2: Convert to fraction form
    124,207.17/185,809.57 = 185,809.57/x
  3. Step 3: Cross multiply
    124,207.17x = 185,809.57 × 185,809.57
  4. Step 4: Simplify right side
    124,207.17x = 34,525,196,419.72
  5. Step 5: Solve for x
    x = 34,525,196,419.72/124,207.17
  6. Step 6: Final answer
    x = 277,964.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.