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Finding the Third Proportional to 97,158 and 145,827

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Solution

The third proportional to 97,158 and 145,827 is: 218,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,158 : 145,827 = 145,827 : x
  2. Step 2: Convert to fraction form
    97,158/145,827 = 145,827/x
  3. Step 3: Cross multiply
    97,158x = 145,827 × 145,827
  4. Step 4: Simplify right side
    97,158x = 21,265,513,929
  5. Step 5: Solve for x
    x = 21,265,513,929/97,158
  6. Step 6: Final answer
    x = 218,875.58

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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.