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Finding the Third Proportional to 127,037.25 and 187,051.50

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Solution

The third proportional to 127,037.25 and 187,051.50 is: 275,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,037.25 : 187,051.50 = 187,051.50 : x
  2. Step 2: Convert to fraction form
    127,037.25/187,051.50 = 187,051.50/x
  3. Step 3: Cross multiply
    127,037.25x = 187,051.50 × 187,051.50
  4. Step 4: Simplify right side
    127,037.25x = 34,988,263,652.25
  5. Step 5: Solve for x
    x = 34,988,263,652.25/127,037.25
  6. Step 6: Final answer
    x = 275,417.36

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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.