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Finding the Third Proportional to 29,160 and 60,196.50

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Solution

The third proportional to 29,160 and 60,196.50 is: 124,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,160 : 60,196.50 = 60,196.50 : x
  2. Step 2: Convert to fraction form
    29,160/60,196.50 = 60,196.50/x
  3. Step 3: Cross multiply
    29,160x = 60,196.50 × 60,196.50
  4. Step 4: Simplify right side
    29,160x = 3,623,618,612.25
  5. Step 5: Solve for x
    x = 3,623,618,612.25/29,160
  6. Step 6: Final answer
    x = 124,266.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.