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Finding the Third Proportional to 63,516 and 89,202

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Solution

The third proportional to 63,516 and 89,202 is: 125,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,516 : 89,202 = 89,202 : x
  2. Step 2: Convert to fraction form
    63,516/89,202 = 89,202/x
  3. Step 3: Cross multiply
    63,516x = 89,202 × 89,202
  4. Step 4: Simplify right side
    63,516x = 7,956,996,804
  5. Step 5: Solve for x
    x = 7,956,996,804/63,516
  6. Step 6: Final answer
    x = 125,275.47

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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.