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Finding the Third Proportional to 127,559.81 and 190,101.94

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Solution

The third proportional to 127,559.81 and 190,101.94 is: 283,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,559.81 : 190,101.94 = 190,101.94 : x
  2. Step 2: Convert to fraction form
    127,559.81/190,101.94 = 190,101.94/x
  3. Step 3: Cross multiply
    127,559.81x = 190,101.94 × 190,101.94
  4. Step 4: Simplify right side
    127,559.81x = 36,138,746,641.25
  5. Step 5: Solve for x
    x = 36,138,746,641.25/127,559.81
  6. Step 6: Final answer
    x = 283,308.25

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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.