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Finding the Third Proportional to 30,116 and 70,352

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Solution

The third proportional to 30,116 and 70,352 is: 164,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116 : 70,352 = 70,352 : x
  2. Step 2: Convert to fraction form
    30,116/70,352 = 70,352/x
  3. Step 3: Cross multiply
    30,116x = 70,352 × 70,352
  4. Step 4: Simplify right side
    30,116x = 4,949,403,904
  5. Step 5: Solve for x
    x = 4,949,403,904/30,116
  6. Step 6: Final answer
    x = 164,344.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.