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Finding the Third Proportional to 138,136 and 286,100

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Solution

The third proportional to 138,136 and 286,100 is: 592,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,136 : 286,100 = 286,100 : x
  2. Step 2: Convert to fraction form
    138,136/286,100 = 286,100/x
  3. Step 3: Cross multiply
    138,136x = 286,100 × 286,100
  4. Step 4: Simplify right side
    138,136x = 81,853,210,000
  5. Step 5: Solve for x
    x = 81,853,210,000/138,136
  6. Step 6: Final answer
    x = 592,555.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.