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Finding the Third Proportional to 45,127.13 and 96,295.50

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Solution

The third proportional to 45,127.13 and 96,295.50 is: 205,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,127.13 : 96,295.50 = 96,295.50 : x
  2. Step 2: Convert to fraction form
    45,127.13/96,295.50 = 96,295.50/x
  3. Step 3: Cross multiply
    45,127.13x = 96,295.50 × 96,295.50
  4. Step 4: Simplify right side
    45,127.13x = 9,272,823,320.25
  5. Step 5: Solve for x
    x = 9,272,823,320.25/45,127.13
  6. Step 6: Final answer
    x = 205,482.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.