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Finding the Third Proportional to 44,786 and 97,564

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Solution

The third proportional to 44,786 and 97,564 is: 212,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,786 : 97,564 = 97,564 : x
  2. Step 2: Convert to fraction form
    44,786/97,564 = 97,564/x
  3. Step 3: Cross multiply
    44,786x = 97,564 × 97,564
  4. Step 4: Simplify right side
    44,786x = 9,518,734,096
  5. Step 5: Solve for x
    x = 9,518,734,096/44,786
  6. Step 6: Final answer
    x = 212,538.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.