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Finding the Third Proportional to 61,530.75 and 131,593.50

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Solution

The third proportional to 61,530.75 and 131,593.50 is: 281,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,530.75 : 131,593.50 = 131,593.50 : x
  2. Step 2: Convert to fraction form
    61,530.75/131,593.50 = 131,593.50/x
  3. Step 3: Cross multiply
    61,530.75x = 131,593.50 × 131,593.50
  4. Step 4: Simplify right side
    61,530.75x = 17,316,849,242.25
  5. Step 5: Solve for x
    x = 17,316,849,242.25/61,530.75
  6. Step 6: Final answer
    x = 281,434.07

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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.