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Finding the Third Proportional to 44,567 and 97,130

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Solution

The third proportional to 44,567 and 97,130 is: 211,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,567 : 97,130 = 97,130 : x
  2. Step 2: Convert to fraction form
    44,567/97,130 = 97,130/x
  3. Step 3: Cross multiply
    44,567x = 97,130 × 97,130
  4. Step 4: Simplify right side
    44,567x = 9,434,236,900
  5. Step 5: Solve for x
    x = 9,434,236,900/44,567
  6. Step 6: Final answer
    x = 211,686.60

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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.