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Finding the Third Proportional to 105,070.50 and 157,716

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Solution

The third proportional to 105,070.50 and 157,716 is: 236,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,070.50 : 157,716 = 157,716 : x
  2. Step 2: Convert to fraction form
    105,070.50/157,716 = 157,716/x
  3. Step 3: Cross multiply
    105,070.50x = 157,716 × 157,716
  4. Step 4: Simplify right side
    105,070.50x = 24,874,336,656
  5. Step 5: Solve for x
    x = 24,874,336,656/105,070.50
  6. Step 6: Final answer
    x = 236,739.49

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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.