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Finding the Third Proportional to 42,374 and 93,046

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Solution

The third proportional to 42,374 and 93,046 is: 204,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,374 : 93,046 = 93,046 : x
  2. Step 2: Convert to fraction form
    42,374/93,046 = 93,046/x
  3. Step 3: Cross multiply
    42,374x = 93,046 × 93,046
  4. Step 4: Simplify right side
    42,374x = 8,657,558,116
  5. Step 5: Solve for x
    x = 8,657,558,116/42,374
  6. Step 6: Final answer
    x = 204,312.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.