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Finding the Third Proportional to 93,409 and 147,674

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Solution

The third proportional to 93,409 and 147,674 is: 233,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,409 : 147,674 = 147,674 : x
  2. Step 2: Convert to fraction form
    93,409/147,674 = 147,674/x
  3. Step 3: Cross multiply
    93,409x = 147,674 × 147,674
  4. Step 4: Simplify right side
    93,409x = 21,807,610,276
  5. Step 5: Solve for x
    x = 21,807,610,276/93,409
  6. Step 6: Final answer
    x = 233,463.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.