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Finding the Third Proportional to 32,519 and 70,222

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Solution

The third proportional to 32,519 and 70,222 is: 151,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,519 : 70,222 = 70,222 : x
  2. Step 2: Convert to fraction form
    32,519/70,222 = 70,222/x
  3. Step 3: Cross multiply
    32,519x = 70,222 × 70,222
  4. Step 4: Simplify right side
    32,519x = 4,931,129,284
  5. Step 5: Solve for x
    x = 4,931,129,284/32,519
  6. Step 6: Final answer
    x = 151,638.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.