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Finding the Third Proportional to 97,305 and 144,559.50

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Solution

The third proportional to 97,305 and 144,559.50 is: 214,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,305 : 144,559.50 = 144,559.50 : x
  2. Step 2: Convert to fraction form
    97,305/144,559.50 = 144,559.50/x
  3. Step 3: Cross multiply
    97,305x = 144,559.50 × 144,559.50
  4. Step 4: Simplify right side
    97,305x = 20,897,449,040.25
  5. Step 5: Solve for x
    x = 20,897,449,040.25/97,305
  6. Step 6: Final answer
    x = 214,762.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.