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Finding the Third Proportional to 70,358 and 103,659

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Solution

The third proportional to 70,358 and 103,659 is: 152,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,358 : 103,659 = 103,659 : x
  2. Step 2: Convert to fraction form
    70,358/103,659 = 103,659/x
  3. Step 3: Cross multiply
    70,358x = 103,659 × 103,659
  4. Step 4: Simplify right side
    70,358x = 10,745,188,281
  5. Step 5: Solve for x
    x = 10,745,188,281/70,358
  6. Step 6: Final answer
    x = 152,721.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.