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Finding the Third Proportional to 104,156 and 161,528

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Solution

The third proportional to 104,156 and 161,528 is: 250,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,156 : 161,528 = 161,528 : x
  2. Step 2: Convert to fraction form
    104,156/161,528 = 161,528/x
  3. Step 3: Cross multiply
    104,156x = 161,528 × 161,528
  4. Step 4: Simplify right side
    104,156x = 26,091,294,784
  5. Step 5: Solve for x
    x = 26,091,294,784/104,156
  6. Step 6: Final answer
    x = 250,502.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.