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Finding the Third Proportional to 70,352 and 101,702

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Solution

The third proportional to 70,352 and 101,702 is: 147,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,352 : 101,702 = 101,702 : x
  2. Step 2: Convert to fraction form
    70,352/101,702 = 101,702/x
  3. Step 3: Cross multiply
    70,352x = 101,702 × 101,702
  4. Step 4: Simplify right side
    70,352x = 10,343,296,804
  5. Step 5: Solve for x
    x = 10,343,296,804/70,352
  6. Step 6: Final answer
    x = 147,022.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.