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Finding the Third Proportional to 138,140 and 202,660

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Solution

The third proportional to 138,140 and 202,660 is: 297,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,140 : 202,660 = 202,660 : x
  2. Step 2: Convert to fraction form
    138,140/202,660 = 202,660/x
  3. Step 3: Cross multiply
    138,140x = 202,660 × 202,660
  4. Step 4: Simplify right side
    138,140x = 41,071,075,600
  5. Step 5: Solve for x
    x = 41,071,075,600/138,140
  6. Step 6: Final answer
    x = 297,314.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.