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Finding the Third Proportional to 130,646.25 and 195,459.75

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Solution

The third proportional to 130,646.25 and 195,459.75 is: 292,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,646.25 : 195,459.75 = 195,459.75 : x
  2. Step 2: Convert to fraction form
    130,646.25/195,459.75 = 195,459.75/x
  3. Step 3: Cross multiply
    130,646.25x = 195,459.75 × 195,459.75
  4. Step 4: Simplify right side
    130,646.25x = 38,204,513,870.06
  5. Step 5: Solve for x
    x = 38,204,513,870.06/130,646.25
  6. Step 6: Final answer
    x = 292,427.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.