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Finding the Third Proportional to 97,152 and 145,818

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Solution

The third proportional to 97,152 and 145,818 is: 218,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,152 : 145,818 = 145,818 : x
  2. Step 2: Convert to fraction form
    97,152/145,818 = 145,818/x
  3. Step 3: Cross multiply
    97,152x = 145,818 × 145,818
  4. Step 4: Simplify right side
    97,152x = 21,262,889,124
  5. Step 5: Solve for x
    x = 21,262,889,124/97,152
  6. Step 6: Final answer
    x = 218,862.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.