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Finding the Third Proportional to 70,090 and 152,852

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Solution

The third proportional to 70,090 and 152,852 is: 333,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,090 : 152,852 = 152,852 : x
  2. Step 2: Convert to fraction form
    70,090/152,852 = 152,852/x
  3. Step 3: Cross multiply
    70,090x = 152,852 × 152,852
  4. Step 4: Simplify right side
    70,090x = 23,363,733,904
  5. Step 5: Solve for x
    x = 23,363,733,904/70,090
  6. Step 6: Final answer
    x = 333,339.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.