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Finding the Third Proportional to 46,259 and 99,076.50

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Solution

The third proportional to 46,259 and 99,076.50 is: 212,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,259 : 99,076.50 = 99,076.50 : x
  2. Step 2: Convert to fraction form
    46,259/99,076.50 = 99,076.50/x
  3. Step 3: Cross multiply
    46,259x = 99,076.50 × 99,076.50
  4. Step 4: Simplify right side
    46,259x = 9,816,152,852.25
  5. Step 5: Solve for x
    x = 9,816,152,852.25/46,259
  6. Step 6: Final answer
    x = 212,199.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.