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Finding the Third Proportional to 63,429 and 85,438.50

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Solution

The third proportional to 63,429 and 85,438.50 is: 115,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,429 : 85,438.50 = 85,438.50 : x
  2. Step 2: Convert to fraction form
    63,429/85,438.50 = 85,438.50/x
  3. Step 3: Cross multiply
    63,429x = 85,438.50 × 85,438.50
  4. Step 4: Simplify right side
    63,429x = 7,299,737,282.25
  5. Step 5: Solve for x
    x = 7,299,737,282.25/63,429
  6. Step 6: Final answer
    x = 115,085.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.