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Finding the Third Proportional to 60,440 and 130,922

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Solution

The third proportional to 60,440 and 130,922 is: 283,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,440 : 130,922 = 130,922 : x
  2. Step 2: Convert to fraction form
    60,440/130,922 = 130,922/x
  3. Step 3: Cross multiply
    60,440x = 130,922 × 130,922
  4. Step 4: Simplify right side
    60,440x = 17,140,570,084
  5. Step 5: Solve for x
    x = 17,140,570,084/60,440
  6. Step 6: Final answer
    x = 283,596.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.