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Finding the Third Proportional to 72,984 and 157,963.50

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Solution

The third proportional to 72,984 and 157,963.50 is: 341,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,984 : 157,963.50 = 157,963.50 : x
  2. Step 2: Convert to fraction form
    72,984/157,963.50 = 157,963.50/x
  3. Step 3: Cross multiply
    72,984x = 157,963.50 × 157,963.50
  4. Step 4: Simplify right side
    72,984x = 24,952,467,332.25
  5. Step 5: Solve for x
    x = 24,952,467,332.25/72,984
  6. Step 6: Final answer
    x = 341,889.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.