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Finding the Third Proportional to 93,129 and 195,382

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Solution

The third proportional to 93,129 and 195,382 is: 409,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,129 : 195,382 = 195,382 : x
  2. Step 2: Convert to fraction form
    93,129/195,382 = 195,382/x
  3. Step 3: Cross multiply
    93,129x = 195,382 × 195,382
  4. Step 4: Simplify right side
    93,129x = 38,174,125,924
  5. Step 5: Solve for x
    x = 38,174,125,924/93,129
  6. Step 6: Final answer
    x = 409,905.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.