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Finding the Third Proportional to 126,402 and 273,076

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Solution

The third proportional to 126,402 and 273,076 is: 589,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,402 : 273,076 = 273,076 : x
  2. Step 2: Convert to fraction form
    126,402/273,076 = 273,076/x
  3. Step 3: Cross multiply
    126,402x = 273,076 × 273,076
  4. Step 4: Simplify right side
    126,402x = 74,570,501,776
  5. Step 5: Solve for x
    x = 74,570,501,776/126,402
  6. Step 6: Final answer
    x = 589,947.17

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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.