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Finding the Third Proportional to 58,207.50 and 124,047

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Solution

The third proportional to 58,207.50 and 124,047 is: 264,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,207.50 : 124,047 = 124,047 : x
  2. Step 2: Convert to fraction form
    58,207.50/124,047 = 124,047/x
  3. Step 3: Cross multiply
    58,207.50x = 124,047 × 124,047
  4. Step 4: Simplify right side
    58,207.50x = 15,387,658,209
  5. Step 5: Solve for x
    x = 15,387,658,209/58,207.50
  6. Step 6: Final answer
    x = 264,358.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.