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Finding the Third Proportional to 102,386.25 and 155,010.38

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Solution

The third proportional to 102,386.25 and 155,010.38 is: 234,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,386.25 : 155,010.38 = 155,010.38 : x
  2. Step 2: Convert to fraction form
    102,386.25/155,010.38 = 155,010.38/x
  3. Step 3: Cross multiply
    102,386.25x = 155,010.38 × 155,010.38
  4. Step 4: Simplify right side
    102,386.25x = 24,028,216,357.64
  5. Step 5: Solve for x
    x = 24,028,216,357.64/102,386.25
  6. Step 6: Final answer
    x = 234,682.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.