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Finding the Third Proportional to 62,240 and 136,574

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Solution

The third proportional to 62,240 and 136,574 is: 299,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,240 : 136,574 = 136,574 : x
  2. Step 2: Convert to fraction form
    62,240/136,574 = 136,574/x
  3. Step 3: Cross multiply
    62,240x = 136,574 × 136,574
  4. Step 4: Simplify right side
    62,240x = 18,652,457,476
  5. Step 5: Solve for x
    x = 18,652,457,476/62,240
  6. Step 6: Final answer
    x = 299,686.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.