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Finding the Third Proportional to 64,776.38 and 95,310

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Solution

The third proportional to 64,776.38 and 95,310 is: 140,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,776.38 : 95,310 = 95,310 : x
  2. Step 2: Convert to fraction form
    64,776.38/95,310 = 95,310/x
  3. Step 3: Cross multiply
    64,776.38x = 95,310 × 95,310
  4. Step 4: Simplify right side
    64,776.38x = 9,083,996,100
  5. Step 5: Solve for x
    x = 9,083,996,100/64,776.38
  6. Step 6: Final answer
    x = 140,236.25

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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.