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Finding the Third Proportional to 105,156 and 157,572

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Solution

The third proportional to 105,156 and 157,572 is: 236,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,156 : 157,572 = 157,572 : x
  2. Step 2: Convert to fraction form
    105,156/157,572 = 157,572/x
  3. Step 3: Cross multiply
    105,156x = 157,572 × 157,572
  4. Step 4: Simplify right side
    105,156x = 24,828,935,184
  5. Step 5: Solve for x
    x = 24,828,935,184/105,156
  6. Step 6: Final answer
    x = 236,115.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.