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Finding the Third Proportional to 45,098 and 97,970

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Solution

The third proportional to 45,098 and 97,970 is: 212,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,098 : 97,970 = 97,970 : x
  2. Step 2: Convert to fraction form
    45,098/97,970 = 97,970/x
  3. Step 3: Cross multiply
    45,098x = 97,970 × 97,970
  4. Step 4: Simplify right side
    45,098x = 9,598,120,900
  5. Step 5: Solve for x
    x = 9,598,120,900/45,098
  6. Step 6: Final answer
    x = 212,828.08

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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.