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Finding the Third Proportional to 45,367 and 97,501

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Solution

The third proportional to 45,367 and 97,501 is: 209,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,367 : 97,501 = 97,501 : x
  2. Step 2: Convert to fraction form
    45,367/97,501 = 97,501/x
  3. Step 3: Cross multiply
    45,367x = 97,501 × 97,501
  4. Step 4: Simplify right side
    45,367x = 9,506,445,001
  5. Step 5: Solve for x
    x = 9,506,445,001/45,367
  6. Step 6: Final answer
    x = 209,545.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.