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Finding the Third Proportional to 32,222 and 68,316

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Solution

The third proportional to 32,222 and 68,316 is: 144,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,222 : 68,316 = 68,316 : x
  2. Step 2: Convert to fraction form
    32,222/68,316 = 68,316/x
  3. Step 3: Cross multiply
    32,222x = 68,316 × 68,316
  4. Step 4: Simplify right side
    32,222x = 4,667,075,856
  5. Step 5: Solve for x
    x = 4,667,075,856/32,222
  6. Step 6: Final answer
    x = 144,841.28

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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.