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Finding the Third Proportional to 61,263 and 83,143.50

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Solution

The third proportional to 61,263 and 83,143.50 is: 112,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,263 : 83,143.50 = 83,143.50 : x
  2. Step 2: Convert to fraction form
    61,263/83,143.50 = 83,143.50/x
  3. Step 3: Cross multiply
    61,263x = 83,143.50 × 83,143.50
  4. Step 4: Simplify right side
    61,263x = 6,912,841,592.25
  5. Step 5: Solve for x
    x = 6,912,841,592.25/61,263
  6. Step 6: Final answer
    x = 112,838.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.