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Finding the Third Proportional to 81,935 and 112,133.50

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Solution

The third proportional to 81,935 and 112,133.50 is: 153,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,935 : 112,133.50 = 112,133.50 : x
  2. Step 2: Convert to fraction form
    81,935/112,133.50 = 112,133.50/x
  3. Step 3: Cross multiply
    81,935x = 112,133.50 × 112,133.50
  4. Step 4: Simplify right side
    81,935x = 12,573,921,822.25
  5. Step 5: Solve for x
    x = 12,573,921,822.25/81,935
  6. Step 6: Final answer
    x = 153,462.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.