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Finding the Third Proportional to 64,163 and 94,312

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Solution

The third proportional to 64,163 and 94,312 is: 138,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,163 : 94,312 = 94,312 : x
  2. Step 2: Convert to fraction form
    64,163/94,312 = 94,312/x
  3. Step 3: Cross multiply
    64,163x = 94,312 × 94,312
  4. Step 4: Simplify right side
    64,163x = 8,894,753,344
  5. Step 5: Solve for x
    x = 8,894,753,344/64,163
  6. Step 6: Final answer
    x = 138,627.45

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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.