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Finding the Third Proportional to 42,735 and 93,525

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Solution

The third proportional to 42,735 and 93,525 is: 204,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,735 : 93,525 = 93,525 : x
  2. Step 2: Convert to fraction form
    42,735/93,525 = 93,525/x
  3. Step 3: Cross multiply
    42,735x = 93,525 × 93,525
  4. Step 4: Simplify right side
    42,735x = 8,746,925,625
  5. Step 5: Solve for x
    x = 8,746,925,625/42,735
  6. Step 6: Final answer
    x = 204,678.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.