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Finding the Third Proportional to 90,468 and 129,856.50

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Solution

The third proportional to 90,468 and 129,856.50 is: 186,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,468 : 129,856.50 = 129,856.50 : x
  2. Step 2: Convert to fraction form
    90,468/129,856.50 = 129,856.50/x
  3. Step 3: Cross multiply
    90,468x = 129,856.50 × 129,856.50
  4. Step 4: Simplify right side
    90,468x = 16,862,710,592.25
  5. Step 5: Solve for x
    x = 16,862,710,592.25/90,468
  6. Step 6: Final answer
    x = 186,394.20

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.