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Finding the Third Proportional to 45,127 and 97,251

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Solution

The third proportional to 45,127 and 97,251 is: 209,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,127 : 97,251 = 97,251 : x
  2. Step 2: Convert to fraction form
    45,127/97,251 = 97,251/x
  3. Step 3: Cross multiply
    45,127x = 97,251 × 97,251
  4. Step 4: Simplify right side
    45,127x = 9,457,757,001
  5. Step 5: Solve for x
    x = 9,457,757,001/45,127
  6. Step 6: Final answer
    x = 209,580.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.