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Finding the Third Proportional to 70,151 and 104,659

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Solution

The third proportional to 70,151 and 104,659 is: 156,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,151 : 104,659 = 104,659 : x
  2. Step 2: Convert to fraction form
    70,151/104,659 = 104,659/x
  3. Step 3: Cross multiply
    70,151x = 104,659 × 104,659
  4. Step 4: Simplify right side
    70,151x = 10,953,506,281
  5. Step 5: Solve for x
    x = 10,953,506,281/70,151
  6. Step 6: Final answer
    x = 156,141.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.