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Finding the Third Proportional to 45,029 and 97,510

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Solution

The third proportional to 45,029 and 97,510 is: 211,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,029 : 97,510 = 97,510 : x
  2. Step 2: Convert to fraction form
    45,029/97,510 = 97,510/x
  3. Step 3: Cross multiply
    45,029x = 97,510 × 97,510
  4. Step 4: Simplify right side
    45,029x = 9,508,200,100
  5. Step 5: Solve for x
    x = 9,508,200,100/45,029
  6. Step 6: Final answer
    x = 211,157.26

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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.