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Finding the Third Proportional to 61,416 and 133,200

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Solution

The third proportional to 61,416 and 133,200 is: 288,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,416 : 133,200 = 133,200 : x
  2. Step 2: Convert to fraction form
    61,416/133,200 = 133,200/x
  3. Step 3: Cross multiply
    61,416x = 133,200 × 133,200
  4. Step 4: Simplify right side
    61,416x = 17,742,240,000
  5. Step 5: Solve for x
    x = 17,742,240,000/61,416
  6. Step 6: Final answer
    x = 288,886.28

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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.