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Finding the Third Proportional to 55,386.50 and 81,228.50

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Solution

The third proportional to 55,386.50 and 81,228.50 is: 119,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,386.50 : 81,228.50 = 81,228.50 : x
  2. Step 2: Convert to fraction form
    55,386.50/81,228.50 = 81,228.50/x
  3. Step 3: Cross multiply
    55,386.50x = 81,228.50 × 81,228.50
  4. Step 4: Simplify right side
    55,386.50x = 6,598,069,212.25
  5. Step 5: Solve for x
    x = 6,598,069,212.25/55,386.50
  6. Step 6: Final answer
    x = 119,127.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.