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Finding the Third Proportional to 35,862 and 78,276

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Solution

The third proportional to 35,862 and 78,276 is: 170,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862 : 78,276 = 78,276 : x
  2. Step 2: Convert to fraction form
    35,862/78,276 = 78,276/x
  3. Step 3: Cross multiply
    35,862x = 78,276 × 78,276
  4. Step 4: Simplify right side
    35,862x = 6,127,132,176
  5. Step 5: Solve for x
    x = 6,127,132,176/35,862
  6. Step 6: Final answer
    x = 170,853.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.