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Finding the Third Proportional to 107,070 and 232,587

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Solution

The third proportional to 107,070 and 232,587 is: 505,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,070 : 232,587 = 232,587 : x
  2. Step 2: Convert to fraction form
    107,070/232,587 = 232,587/x
  3. Step 3: Cross multiply
    107,070x = 232,587 × 232,587
  4. Step 4: Simplify right side
    107,070x = 54,096,712,569
  5. Step 5: Solve for x
    x = 54,096,712,569/107,070
  6. Step 6: Final answer
    x = 505,246.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.