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Finding the Third Proportional to 45,070 and 97,892

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Solution

The third proportional to 45,070 and 97,892 is: 212,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,070 : 97,892 = 97,892 : x
  2. Step 2: Convert to fraction form
    45,070/97,892 = 97,892/x
  3. Step 3: Cross multiply
    45,070x = 97,892 × 97,892
  4. Step 4: Simplify right side
    45,070x = 9,582,843,664
  5. Step 5: Solve for x
    x = 9,582,843,664/45,070
  6. Step 6: Final answer
    x = 212,621.34

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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.