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Finding the Third Proportional to 90,810 and 148,657.50

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Solution

The third proportional to 90,810 and 148,657.50 is: 243,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,810 : 148,657.50 = 148,657.50 : x
  2. Step 2: Convert to fraction form
    90,810/148,657.50 = 148,657.50/x
  3. Step 3: Cross multiply
    90,810x = 148,657.50 × 148,657.50
  4. Step 4: Simplify right side
    90,810x = 22,099,052,306.25
  5. Step 5: Solve for x
    x = 22,099,052,306.25/90,810
  6. Step 6: Final answer
    x = 243,354.83

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.