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Finding the Third Proportional to 97,875 and 147,063

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Solution

The third proportional to 97,875 and 147,063 is: 220,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,875 : 147,063 = 147,063 : x
  2. Step 2: Convert to fraction form
    97,875/147,063 = 147,063/x
  3. Step 3: Cross multiply
    97,875x = 147,063 × 147,063
  4. Step 4: Simplify right side
    97,875x = 21,627,525,969
  5. Step 5: Solve for x
    x = 21,627,525,969/97,875
  6. Step 6: Final answer
    x = 220,970.89

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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.