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Finding the Third Proportional to 127,032.75 and 147,627

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Solution

The third proportional to 127,032.75 and 147,627 is: 171,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,032.75 : 147,627 = 147,627 : x
  2. Step 2: Convert to fraction form
    127,032.75/147,627 = 147,627/x
  3. Step 3: Cross multiply
    127,032.75x = 147,627 × 147,627
  4. Step 4: Simplify right side
    127,032.75x = 21,793,731,129
  5. Step 5: Solve for x
    x = 21,793,731,129/127,032.75
  6. Step 6: Final answer
    x = 171,559.94

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.