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Finding the Third Proportional to 65,468.50 and 141,386

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Solution

The third proportional to 65,468.50 and 141,386 is: 305,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,468.50 : 141,386 = 141,386 : x
  2. Step 2: Convert to fraction form
    65,468.50/141,386 = 141,386/x
  3. Step 3: Cross multiply
    65,468.50x = 141,386 × 141,386
  4. Step 4: Simplify right side
    65,468.50x = 19,990,000,996
  5. Step 5: Solve for x
    x = 19,990,000,996/65,468.50
  6. Step 6: Final answer
    x = 305,337.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.