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Finding the Third Proportional to 127,506 and 192,899

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Solution

The third proportional to 127,506 and 192,899 is: 291,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,506 : 192,899 = 192,899 : x
  2. Step 2: Convert to fraction form
    127,506/192,899 = 192,899/x
  3. Step 3: Cross multiply
    127,506x = 192,899 × 192,899
  4. Step 4: Simplify right side
    127,506x = 37,210,024,201
  5. Step 5: Solve for x
    x = 37,210,024,201/127,506
  6. Step 6: Final answer
    x = 291,829.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.