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Finding the Third Proportional to 70,152 and 152,886

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Solution

The third proportional to 70,152 and 152,886 is: 333,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152 : 152,886 = 152,886 : x
  2. Step 2: Convert to fraction form
    70,152/152,886 = 152,886/x
  3. Step 3: Cross multiply
    70,152x = 152,886 × 152,886
  4. Step 4: Simplify right side
    70,152x = 23,374,128,996
  5. Step 5: Solve for x
    x = 23,374,128,996/70,152
  6. Step 6: Final answer
    x = 333,192.62

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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.