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Finding the Third Proportional to 97,448 and 145,778

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Solution

The third proportional to 97,448 and 145,778 is: 218,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,448 : 145,778 = 145,778 : x
  2. Step 2: Convert to fraction form
    97,448/145,778 = 145,778/x
  3. Step 3: Cross multiply
    97,448x = 145,778 × 145,778
  4. Step 4: Simplify right side
    97,448x = 21,251,225,284
  5. Step 5: Solve for x
    x = 21,251,225,284/97,448
  6. Step 6: Final answer
    x = 218,077.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.