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Finding the Third Proportional to 32,220 and 68,312

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Solution

The third proportional to 32,220 and 68,312 is: 144,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,220 : 68,312 = 68,312 : x
  2. Step 2: Convert to fraction form
    32,220/68,312 = 68,312/x
  3. Step 3: Cross multiply
    32,220x = 68,312 × 68,312
  4. Step 4: Simplify right side
    32,220x = 4,666,529,344
  5. Step 5: Solve for x
    x = 4,666,529,344/32,220
  6. Step 6: Final answer
    x = 144,833.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.