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Finding the Third Proportional to 60,210 and 92,785.50

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Solution

The third proportional to 60,210 and 92,785.50 is: 142,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,210 : 92,785.50 = 92,785.50 : x
  2. Step 2: Convert to fraction form
    60,210/92,785.50 = 92,785.50/x
  3. Step 3: Cross multiply
    60,210x = 92,785.50 × 92,785.50
  4. Step 4: Simplify right side
    60,210x = 8,609,149,010.25
  5. Step 5: Solve for x
    x = 8,609,149,010.25/60,210
  6. Step 6: Final answer
    x = 142,985.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.