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Finding the Third Proportional to 45,101 and 97,887

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Solution

The third proportional to 45,101 and 97,887 is: 212,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,101 : 97,887 = 97,887 : x
  2. Step 2: Convert to fraction form
    45,101/97,887 = 97,887/x
  3. Step 3: Cross multiply
    45,101x = 97,887 × 97,887
  4. Step 4: Simplify right side
    45,101x = 9,581,864,769
  5. Step 5: Solve for x
    x = 9,581,864,769/45,101
  6. Step 6: Final answer
    x = 212,453.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.