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Finding the Third Proportional to 64,522.50 and 97,753.50

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Solution

The third proportional to 64,522.50 and 97,753.50 is: 148,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,522.50 : 97,753.50 = 97,753.50 : x
  2. Step 2: Convert to fraction form
    64,522.50/97,753.50 = 97,753.50/x
  3. Step 3: Cross multiply
    64,522.50x = 97,753.50 × 97,753.50
  4. Step 4: Simplify right side
    64,522.50x = 9,555,746,762.25
  5. Step 5: Solve for x
    x = 9,555,746,762.25/64,522.50
  6. Step 6: Final answer
    x = 148,099.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.