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Finding the Third Proportional to 75,710 and 163,964

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Solution

The third proportional to 75,710 and 163,964 is: 355,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,710 : 163,964 = 163,964 : x
  2. Step 2: Convert to fraction form
    75,710/163,964 = 163,964/x
  3. Step 3: Cross multiply
    75,710x = 163,964 × 163,964
  4. Step 4: Simplify right side
    75,710x = 26,884,193,296
  5. Step 5: Solve for x
    x = 26,884,193,296/75,710
  6. Step 6: Final answer
    x = 355,094.35

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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.