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Finding the Third Proportional to 42,937 and 93,502

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Solution

The third proportional to 42,937 and 93,502 is: 203,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,937 : 93,502 = 93,502 : x
  2. Step 2: Convert to fraction form
    42,937/93,502 = 93,502/x
  3. Step 3: Cross multiply
    42,937x = 93,502 × 93,502
  4. Step 4: Simplify right side
    42,937x = 8,742,624,004
  5. Step 5: Solve for x
    x = 8,742,624,004/42,937
  6. Step 6: Final answer
    x = 203,615.16

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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.