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Finding the Third Proportional to 101,097 and 155,862

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Solution

The third proportional to 101,097 and 155,862 is: 240,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097 : 155,862 = 155,862 : x
  2. Step 2: Convert to fraction form
    101,097/155,862 = 155,862/x
  3. Step 3: Cross multiply
    101,097x = 155,862 × 155,862
  4. Step 4: Simplify right side
    101,097x = 24,292,963,044
  5. Step 5: Solve for x
    x = 24,292,963,044/101,097
  6. Step 6: Final answer
    x = 240,293.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.