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Finding the Third Proportional to 61,776 and 134,604

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Solution

The third proportional to 61,776 and 134,604 is: 293,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,776 : 134,604 = 134,604 : x
  2. Step 2: Convert to fraction form
    61,776/134,604 = 134,604/x
  3. Step 3: Cross multiply
    61,776x = 134,604 × 134,604
  4. Step 4: Simplify right side
    61,776x = 18,118,236,816
  5. Step 5: Solve for x
    x = 18,118,236,816/61,776
  6. Step 6: Final answer
    x = 293,289.25

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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.