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Finding the Third Proportional to 85,670 and 185,641

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Solution

The third proportional to 85,670 and 185,641 is: 402,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,670 : 185,641 = 185,641 : x
  2. Step 2: Convert to fraction form
    85,670/185,641 = 185,641/x
  3. Step 3: Cross multiply
    85,670x = 185,641 × 185,641
  4. Step 4: Simplify right side
    85,670x = 34,462,580,881
  5. Step 5: Solve for x
    x = 34,462,580,881/85,670
  6. Step 6: Final answer
    x = 402,271.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.