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Finding the Third Proportional to 127,301.63 and 190,998

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Solution

The third proportional to 127,301.63 and 190,998 is: 286,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,301.63 : 190,998 = 190,998 : x
  2. Step 2: Convert to fraction form
    127,301.63/190,998 = 190,998/x
  3. Step 3: Cross multiply
    127,301.63x = 190,998 × 190,998
  4. Step 4: Simplify right side
    127,301.63x = 36,480,236,004
  5. Step 5: Solve for x
    x = 36,480,236,004/127,301.63
  6. Step 6: Final answer
    x = 286,565.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.