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Finding the Third Proportional to 91,377 and 142,035.75

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Solution

The third proportional to 91,377 and 142,035.75 is: 220,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,377 : 142,035.75 = 142,035.75 : x
  2. Step 2: Convert to fraction form
    91,377/142,035.75 = 142,035.75/x
  3. Step 3: Cross multiply
    91,377x = 142,035.75 × 142,035.75
  4. Step 4: Simplify right side
    91,377x = 20,174,154,278.06
  5. Step 5: Solve for x
    x = 20,174,154,278.06/91,377
  6. Step 6: Final answer
    x = 220,779.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.