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Finding the Third Proportional to 73,806 and 152,862

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Solution

The third proportional to 73,806 and 152,862 is: 316,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,806 : 152,862 = 152,862 : x
  2. Step 2: Convert to fraction form
    73,806/152,862 = 152,862/x
  3. Step 3: Cross multiply
    73,806x = 152,862 × 152,862
  4. Step 4: Simplify right side
    73,806x = 23,366,791,044
  5. Step 5: Solve for x
    x = 23,366,791,044/73,806
  6. Step 6: Final answer
    x = 316,597.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.