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Finding the Third Proportional to 32,310 and 70,140

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Solution

The third proportional to 32,310 and 70,140 is: 152,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,310 : 70,140 = 70,140 : x
  2. Step 2: Convert to fraction form
    32,310/70,140 = 70,140/x
  3. Step 3: Cross multiply
    32,310x = 70,140 × 70,140
  4. Step 4: Simplify right side
    32,310x = 4,919,619,600
  5. Step 5: Solve for x
    x = 4,919,619,600/32,310
  6. Step 6: Final answer
    x = 152,263.06

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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.