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Finding the Third Proportional to 124,465.50 and 185,886

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Solution

The third proportional to 124,465.50 and 185,886 is: 277,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,465.50 : 185,886 = 185,886 : x
  2. Step 2: Convert to fraction form
    124,465.50/185,886 = 185,886/x
  3. Step 3: Cross multiply
    124,465.50x = 185,886 × 185,886
  4. Step 4: Simplify right side
    124,465.50x = 34,553,604,996
  5. Step 5: Solve for x
    x = 34,553,604,996/124,465.50
  6. Step 6: Final answer
    x = 277,615.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.