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Finding the Third Proportional to 65,853 and 144,250.88

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Solution

The third proportional to 65,853 and 144,250.88 is: 315,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,853 : 144,250.88 = 144,250.88 : x
  2. Step 2: Convert to fraction form
    65,853/144,250.88 = 144,250.88/x
  3. Step 3: Cross multiply
    65,853x = 144,250.88 × 144,250.88
  4. Step 4: Simplify right side
    65,853x = 20,808,314,938.27
  5. Step 5: Solve for x
    x = 20,808,314,938.27/65,853
  6. Step 6: Final answer
    x = 315,981.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.