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Finding the Third Proportional to 45,024 and 97,842

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Solution

The third proportional to 45,024 and 97,842 is: 212,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,024 : 97,842 = 97,842 : x
  2. Step 2: Convert to fraction form
    45,024/97,842 = 97,842/x
  3. Step 3: Cross multiply
    45,024x = 97,842 × 97,842
  4. Step 4: Simplify right side
    45,024x = 9,573,056,964
  5. Step 5: Solve for x
    x = 9,573,056,964/45,024
  6. Step 6: Final answer
    x = 212,621.20

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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.