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Finding the Third Proportional to 59,166 and 65,587.50

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Solution

The third proportional to 59,166 and 65,587.50 is: 72,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,166 : 65,587.50 = 65,587.50 : x
  2. Step 2: Convert to fraction form
    59,166/65,587.50 = 65,587.50/x
  3. Step 3: Cross multiply
    59,166x = 65,587.50 × 65,587.50
  4. Step 4: Simplify right side
    59,166x = 4,301,720,156.25
  5. Step 5: Solve for x
    x = 4,301,720,156.25/59,166
  6. Step 6: Final answer
    x = 72,705.95

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.