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Finding the Third Proportional to 44,506 and 97,754

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Solution

The third proportional to 44,506 and 97,754 is: 214,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,506 : 97,754 = 97,754 : x
  2. Step 2: Convert to fraction form
    44,506/97,754 = 97,754/x
  3. Step 3: Cross multiply
    44,506x = 97,754 × 97,754
  4. Step 4: Simplify right side
    44,506x = 9,555,844,516
  5. Step 5: Solve for x
    x = 9,555,844,516/44,506
  6. Step 6: Final answer
    x = 214,709.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.