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Finding the Third Proportional to 75,237 and 163,432.50

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Solution

The third proportional to 75,237 and 163,432.50 is: 355,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,237 : 163,432.50 = 163,432.50 : x
  2. Step 2: Convert to fraction form
    75,237/163,432.50 = 163,432.50/x
  3. Step 3: Cross multiply
    75,237x = 163,432.50 × 163,432.50
  4. Step 4: Simplify right side
    75,237x = 26,710,182,056.25
  5. Step 5: Solve for x
    x = 26,710,182,056.25/75,237
  6. Step 6: Final answer
    x = 355,013.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.