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Finding the Third Proportional to 63,574 and 136,862

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Solution

The third proportional to 63,574 and 136,862 is: 294,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,574 : 136,862 = 136,862 : x
  2. Step 2: Convert to fraction form
    63,574/136,862 = 136,862/x
  3. Step 3: Cross multiply
    63,574x = 136,862 × 136,862
  4. Step 4: Simplify right side
    63,574x = 18,731,207,044
  5. Step 5: Solve for x
    x = 18,731,207,044/63,574
  6. Step 6: Final answer
    x = 294,636.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.