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Finding the Third Proportional to 59,304 and 78,385.50

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Solution

The third proportional to 59,304 and 78,385.50 is: 103,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,304 : 78,385.50 = 78,385.50 : x
  2. Step 2: Convert to fraction form
    59,304/78,385.50 = 78,385.50/x
  3. Step 3: Cross multiply
    59,304x = 78,385.50 × 78,385.50
  4. Step 4: Simplify right side
    59,304x = 6,144,286,610.25
  5. Step 5: Solve for x
    x = 6,144,286,610.25/59,304
  6. Step 6: Final answer
    x = 103,606.61

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.