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Finding the Third Proportional to 77,963.13 and 143,778.16

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Solution

The third proportional to 77,963.13 and 143,778.16 is: 265,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,963.13 : 143,778.16 = 143,778.16 : x
  2. Step 2: Convert to fraction form
    77,963.13/143,778.16 = 143,778.16/x
  3. Step 3: Cross multiply
    77,963.13x = 143,778.16 × 143,778.16
  4. Step 4: Simplify right side
    77,963.13x = 20,672,160,461.18
  5. Step 5: Solve for x
    x = 20,672,160,461.18/77,963.13
  6. Step 6: Final answer
    x = 265,153.02

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.