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Finding the Third Proportional to 82,730.25 and 110,943

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Solution

The third proportional to 82,730.25 and 110,943 is: 148,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,730.25 : 110,943 = 110,943 : x
  2. Step 2: Convert to fraction form
    82,730.25/110,943 = 110,943/x
  3. Step 3: Cross multiply
    82,730.25x = 110,943 × 110,943
  4. Step 4: Simplify right side
    82,730.25x = 12,308,349,249
  5. Step 5: Solve for x
    x = 12,308,349,249/82,730.25
  6. Step 6: Final answer
    x = 148,776.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.