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Finding the Third Proportional to 42,528 and 93,237

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Solution

The third proportional to 42,528 and 93,237 is: 204,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,528 : 93,237 = 93,237 : x
  2. Step 2: Convert to fraction form
    42,528/93,237 = 93,237/x
  3. Step 3: Cross multiply
    42,528x = 93,237 × 93,237
  4. Step 4: Simplify right side
    42,528x = 8,693,138,169
  5. Step 5: Solve for x
    x = 8,693,138,169/42,528
  6. Step 6: Final answer
    x = 204,409.76

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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.