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Finding the Third Proportional to 115,857 and 170,026.50

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Solution

The third proportional to 115,857 and 170,026.50 is: 249,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,857 : 170,026.50 = 170,026.50 : x
  2. Step 2: Convert to fraction form
    115,857/170,026.50 = 170,026.50/x
  3. Step 3: Cross multiply
    115,857x = 170,026.50 × 170,026.50
  4. Step 4: Simplify right side
    115,857x = 28,909,010,702.25
  5. Step 5: Solve for x
    x = 28,909,010,702.25/115,857
  6. Step 6: Final answer
    x = 249,523.21

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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.