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Finding the Third Proportional to 70,098 and 151,854

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Solution

The third proportional to 70,098 and 151,854 is: 328,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098 : 151,854 = 151,854 : x
  2. Step 2: Convert to fraction form
    70,098/151,854 = 151,854/x
  3. Step 3: Cross multiply
    70,098x = 151,854 × 151,854
  4. Step 4: Simplify right side
    70,098x = 23,059,637,316
  5. Step 5: Solve for x
    x = 23,059,637,316/70,098
  6. Step 6: Final answer
    x = 328,962.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.