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Finding the Third Proportional to 127,152 and 155,583

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Solution

The third proportional to 127,152 and 155,583 is: 190,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,152 : 155,583 = 155,583 : x
  2. Step 2: Convert to fraction form
    127,152/155,583 = 155,583/x
  3. Step 3: Cross multiply
    127,152x = 155,583 × 155,583
  4. Step 4: Simplify right side
    127,152x = 24,206,069,889
  5. Step 5: Solve for x
    x = 24,206,069,889/127,152
  6. Step 6: Final answer
    x = 190,371.13

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.