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Finding the Third Proportional to 45,552 and 97,910

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Solution

The third proportional to 45,552 and 97,910 is: 210,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,552 : 97,910 = 97,910 : x
  2. Step 2: Convert to fraction form
    45,552/97,910 = 97,910/x
  3. Step 3: Cross multiply
    45,552x = 97,910 × 97,910
  4. Step 4: Simplify right side
    45,552x = 9,586,368,100
  5. Step 5: Solve for x
    x = 9,586,368,100/45,552
  6. Step 6: Final answer
    x = 210,448.90

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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.