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Finding the Third Proportional to 100,157.50 and 133,784

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Solution

The third proportional to 100,157.50 and 133,784 is: 178,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,157.50 : 133,784 = 133,784 : x
  2. Step 2: Convert to fraction form
    100,157.50/133,784 = 133,784/x
  3. Step 3: Cross multiply
    100,157.50x = 133,784 × 133,784
  4. Step 4: Simplify right side
    100,157.50x = 17,898,158,656
  5. Step 5: Solve for x
    x = 17,898,158,656/100,157.50
  6. Step 6: Final answer
    x = 178,700.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.