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Finding the Third Proportional to 126,354 and 272,958

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Solution

The third proportional to 126,354 and 272,958 is: 589,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,354 : 272,958 = 272,958 : x
  2. Step 2: Convert to fraction form
    126,354/272,958 = 272,958/x
  3. Step 3: Cross multiply
    126,354x = 272,958 × 272,958
  4. Step 4: Simplify right side
    126,354x = 74,506,069,764
  5. Step 5: Solve for x
    x = 74,506,069,764/126,354
  6. Step 6: Final answer
    x = 589,661.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.