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Finding the Third Proportional to 97,551 and 142,600.50

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Solution

The third proportional to 97,551 and 142,600.50 is: 208,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,551 : 142,600.50 = 142,600.50 : x
  2. Step 2: Convert to fraction form
    97,551/142,600.50 = 142,600.50/x
  3. Step 3: Cross multiply
    97,551x = 142,600.50 × 142,600.50
  4. Step 4: Simplify right side
    97,551x = 20,334,902,600.25
  5. Step 5: Solve for x
    x = 20,334,902,600.25/97,551
  6. Step 6: Final answer
    x = 208,454.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.