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Finding the Third Proportional to 92,090 and 145,539

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Solution

The third proportional to 92,090 and 145,539 is: 230,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,090 : 145,539 = 145,539 : x
  2. Step 2: Convert to fraction form
    92,090/145,539 = 145,539/x
  3. Step 3: Cross multiply
    92,090x = 145,539 × 145,539
  4. Step 4: Simplify right side
    92,090x = 21,181,600,521
  5. Step 5: Solve for x
    x = 21,181,600,521/92,090
  6. Step 6: Final answer
    x = 230,009.78

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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.