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Finding the Third Proportional to 115,902 and 249,135

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Solution

The third proportional to 115,902 and 249,135 is: 535,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,902 : 249,135 = 249,135 : x
  2. Step 2: Convert to fraction form
    115,902/249,135 = 249,135/x
  3. Step 3: Cross multiply
    115,902x = 249,135 × 249,135
  4. Step 4: Simplify right side
    115,902x = 62,068,248,225
  5. Step 5: Solve for x
    x = 62,068,248,225/115,902
  6. Step 6: Final answer
    x = 535,523.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.