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Finding the Third Proportional to 52,984 and 114,572

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Solution

The third proportional to 52,984 and 114,572 is: 247,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,984 : 114,572 = 114,572 : x
  2. Step 2: Convert to fraction form
    52,984/114,572 = 114,572/x
  3. Step 3: Cross multiply
    52,984x = 114,572 × 114,572
  4. Step 4: Simplify right side
    52,984x = 13,126,743,184
  5. Step 5: Solve for x
    x = 13,126,743,184/52,984
  6. Step 6: Final answer
    x = 247,749.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.