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Finding the Third Proportional to 63,621 and 93,487

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Solution

The third proportional to 63,621 and 93,487 is: 137,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,621 : 93,487 = 93,487 : x
  2. Step 2: Convert to fraction form
    63,621/93,487 = 93,487/x
  3. Step 3: Cross multiply
    63,621x = 93,487 × 93,487
  4. Step 4: Simplify right side
    63,621x = 8,739,819,169
  5. Step 5: Solve for x
    x = 8,739,819,169/63,621
  6. Step 6: Final answer
    x = 137,373.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.