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Finding the Third Proportional to 102,035 and 160,878

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Solution

The third proportional to 102,035 and 160,878 is: 253,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,035 : 160,878 = 160,878 : x
  2. Step 2: Convert to fraction form
    102,035/160,878 = 160,878/x
  3. Step 3: Cross multiply
    102,035x = 160,878 × 160,878
  4. Step 4: Simplify right side
    102,035x = 25,881,730,884
  5. Step 5: Solve for x
    x = 25,881,730,884/102,035
  6. Step 6: Final answer
    x = 253,655.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.