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Finding the Third Proportional to 42,748 and 93,362

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Solution

The third proportional to 42,748 and 93,362 is: 203,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,748 : 93,362 = 93,362 : x
  2. Step 2: Convert to fraction form
    42,748/93,362 = 93,362/x
  3. Step 3: Cross multiply
    42,748x = 93,362 × 93,362
  4. Step 4: Simplify right side
    42,748x = 8,716,463,044
  5. Step 5: Solve for x
    x = 8,716,463,044/42,748
  6. Step 6: Final answer
    x = 203,903.41

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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.