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Finding the Third Proportional to 45,743 and 98,776

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Solution

The third proportional to 45,743 and 98,776 is: 213,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,743 : 98,776 = 98,776 : x
  2. Step 2: Convert to fraction form
    45,743/98,776 = 98,776/x
  3. Step 3: Cross multiply
    45,743x = 98,776 × 98,776
  4. Step 4: Simplify right side
    45,743x = 9,756,698,176
  5. Step 5: Solve for x
    x = 9,756,698,176/45,743
  6. Step 6: Final answer
    x = 213,293.80

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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.