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Finding the Third Proportional to 61,411.50 and 131,706

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Solution

The third proportional to 61,411.50 and 131,706 is: 282,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,411.50 : 131,706 = 131,706 : x
  2. Step 2: Convert to fraction form
    61,411.50/131,706 = 131,706/x
  3. Step 3: Cross multiply
    61,411.50x = 131,706 × 131,706
  4. Step 4: Simplify right side
    61,411.50x = 17,346,470,436
  5. Step 5: Solve for x
    x = 17,346,470,436/61,411.50
  6. Step 6: Final answer
    x = 282,462.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.