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Finding the Third Proportional to 45,910 and 97,332

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Solution

The third proportional to 45,910 and 97,332 is: 206,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,910 : 97,332 = 97,332 : x
  2. Step 2: Convert to fraction form
    45,910/97,332 = 97,332/x
  3. Step 3: Cross multiply
    45,910x = 97,332 × 97,332
  4. Step 4: Simplify right side
    45,910x = 9,473,518,224
  5. Step 5: Solve for x
    x = 9,473,518,224/45,910
  6. Step 6: Final answer
    x = 206,349.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.