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Finding the Third Proportional to 39,528 and 93,307

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Solution

The third proportional to 39,528 and 93,307 is: 220,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,528 : 93,307 = 93,307 : x
  2. Step 2: Convert to fraction form
    39,528/93,307 = 93,307/x
  3. Step 3: Cross multiply
    39,528x = 93,307 × 93,307
  4. Step 4: Simplify right side
    39,528x = 8,706,196,249
  5. Step 5: Solve for x
    x = 8,706,196,249/39,528
  6. Step 6: Final answer
    x = 220,253.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.