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Finding the Third Proportional to 62,672 and 137,746

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Solution

The third proportional to 62,672 and 137,746 is: 302,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,672 : 137,746 = 137,746 : x
  2. Step 2: Convert to fraction form
    62,672/137,746 = 137,746/x
  3. Step 3: Cross multiply
    62,672x = 137,746 × 137,746
  4. Step 4: Simplify right side
    62,672x = 18,973,960,516
  5. Step 5: Solve for x
    x = 18,973,960,516/62,672
  6. Step 6: Final answer
    x = 302,750.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.