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Finding the Third Proportional to 130,725 and 201,960

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Solution

The third proportional to 130,725 and 201,960 is: 312,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,725 : 201,960 = 201,960 : x
  2. Step 2: Convert to fraction form
    130,725/201,960 = 201,960/x
  3. Step 3: Cross multiply
    130,725x = 201,960 × 201,960
  4. Step 4: Simplify right side
    130,725x = 40,787,841,600
  5. Step 5: Solve for x
    x = 40,787,841,600/130,725
  6. Step 6: Final answer
    x = 312,012.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.