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Finding the Third Proportional to 97,807.50 and 142,992

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Solution

The third proportional to 97,807.50 and 142,992 is: 209,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,807.50 : 142,992 = 142,992 : x
  2. Step 2: Convert to fraction form
    97,807.50/142,992 = 142,992/x
  3. Step 3: Cross multiply
    97,807.50x = 142,992 × 142,992
  4. Step 4: Simplify right side
    97,807.50x = 20,446,712,064
  5. Step 5: Solve for x
    x = 20,446,712,064/97,807.50
  6. Step 6: Final answer
    x = 209,050.55

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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.