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Finding the Third Proportional to 63,718 and 89,141

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Solution

The third proportional to 63,718 and 89,141 is: 124,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,718 : 89,141 = 89,141 : x
  2. Step 2: Convert to fraction form
    63,718/89,141 = 89,141/x
  3. Step 3: Cross multiply
    63,718x = 89,141 × 89,141
  4. Step 4: Simplify right side
    63,718x = 7,946,117,881
  5. Step 5: Solve for x
    x = 7,946,117,881/63,718
  6. Step 6: Final answer
    x = 124,707.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.