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Finding the Third Proportional to 61,187 and 94,116.50

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Solution

The third proportional to 61,187 and 94,116.50 is: 144,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,187 : 94,116.50 = 94,116.50 : x
  2. Step 2: Convert to fraction form
    61,187/94,116.50 = 94,116.50/x
  3. Step 3: Cross multiply
    61,187x = 94,116.50 × 94,116.50
  4. Step 4: Simplify right side
    61,187x = 8,857,915,572.25
  5. Step 5: Solve for x
    x = 8,857,915,572.25/61,187
  6. Step 6: Final answer
    x = 144,767.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.