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Finding the Third Proportional to 64,134 and 97,341

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Solution

The third proportional to 64,134 and 97,341 is: 147,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,134 : 97,341 = 97,341 : x
  2. Step 2: Convert to fraction form
    64,134/97,341 = 97,341/x
  3. Step 3: Cross multiply
    64,134x = 97,341 × 97,341
  4. Step 4: Simplify right side
    64,134x = 9,475,270,281
  5. Step 5: Solve for x
    x = 9,475,270,281/64,134
  6. Step 6: Final answer
    x = 147,741.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.