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Finding the Third Proportional to 127,368 and 190,080

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Solution

The third proportional to 127,368 and 190,080 is: 283,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,368 : 190,080 = 190,080 : x
  2. Step 2: Convert to fraction form
    127,368/190,080 = 190,080/x
  3. Step 3: Cross multiply
    127,368x = 190,080 × 190,080
  4. Step 4: Simplify right side
    127,368x = 36,130,406,400
  5. Step 5: Solve for x
    x = 36,130,406,400/127,368
  6. Step 6: Final answer
    x = 283,669.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.