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Finding the Third Proportional to 90,628 and 137,862

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Solution

The third proportional to 90,628 and 137,862 is: 209,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,628 : 137,862 = 137,862 : x
  2. Step 2: Convert to fraction form
    90,628/137,862 = 137,862/x
  3. Step 3: Cross multiply
    90,628x = 137,862 × 137,862
  4. Step 4: Simplify right side
    90,628x = 19,005,931,044
  5. Step 5: Solve for x
    x = 19,005,931,044/90,628
  6. Step 6: Final answer
    x = 209,713.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.