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Finding the Third Proportional to 42,527 and 92,547

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Solution

The third proportional to 42,527 and 92,547 is: 201,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,527 : 92,547 = 92,547 : x
  2. Step 2: Convert to fraction form
    42,527/92,547 = 92,547/x
  3. Step 3: Cross multiply
    42,527x = 92,547 × 92,547
  4. Step 4: Simplify right side
    42,527x = 8,564,947,209
  5. Step 5: Solve for x
    x = 8,564,947,209/42,527
  6. Step 6: Final answer
    x = 201,400.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.