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Finding the Third Proportional to 74,146 and 153,552

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Solution

The third proportional to 74,146 and 153,552 is: 317,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,146 : 153,552 = 153,552 : x
  2. Step 2: Convert to fraction form
    74,146/153,552 = 153,552/x
  3. Step 3: Cross multiply
    74,146x = 153,552 × 153,552
  4. Step 4: Simplify right side
    74,146x = 23,578,216,704
  5. Step 5: Solve for x
    x = 23,578,216,704/74,146
  6. Step 6: Final answer
    x = 317,997.15

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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.