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Finding the Third Proportional to 115,859 and 170,029

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Solution

The third proportional to 115,859 and 170,029 is: 249,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,859 : 170,029 = 170,029 : x
  2. Step 2: Convert to fraction form
    115,859/170,029 = 170,029/x
  3. Step 3: Cross multiply
    115,859x = 170,029 × 170,029
  4. Step 4: Simplify right side
    115,859x = 28,909,860,841
  5. Step 5: Solve for x
    x = 28,909,860,841/115,859
  6. Step 6: Final answer
    x = 249,526.24

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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.