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Finding the Third Proportional to 61,311 and 94,972.50

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Solution

The third proportional to 61,311 and 94,972.50 is: 147,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,311 : 94,972.50 = 94,972.50 : x
  2. Step 2: Convert to fraction form
    61,311/94,972.50 = 94,972.50/x
  3. Step 3: Cross multiply
    61,311x = 94,972.50 × 94,972.50
  4. Step 4: Simplify right side
    61,311x = 9,019,775,756.25
  5. Step 5: Solve for x
    x = 9,019,775,756.25/61,311
  6. Step 6: Final answer
    x = 147,115.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.