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Finding the Third Proportional to 75,953 and 163,594

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Solution

The third proportional to 75,953 and 163,594 is: 352,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,953 : 163,594 = 163,594 : x
  2. Step 2: Convert to fraction form
    75,953/163,594 = 163,594/x
  3. Step 3: Cross multiply
    75,953x = 163,594 × 163,594
  4. Step 4: Simplify right side
    75,953x = 26,762,996,836
  5. Step 5: Solve for x
    x = 26,762,996,836/75,953
  6. Step 6: Final answer
    x = 352,362.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.