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Finding the Third Proportional to 126,316.13 and 190,783.13

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Solution

The third proportional to 126,316.13 and 190,783.13 is: 288,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,316.13 : 190,783.13 = 190,783.13 : x
  2. Step 2: Convert to fraction form
    126,316.13/190,783.13 = 190,783.13/x
  3. Step 3: Cross multiply
    126,316.13x = 190,783.13 × 190,783.13
  4. Step 4: Simplify right side
    126,316.13x = 36,398,200,784.77
  5. Step 5: Solve for x
    x = 36,398,200,784.77/126,316.13
  6. Step 6: Final answer
    x = 288,151.66

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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.