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Finding the Third Proportional to 64,430 and 98,012.50

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Solution

The third proportional to 64,430 and 98,012.50 is: 149,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,430 : 98,012.50 = 98,012.50 : x
  2. Step 2: Convert to fraction form
    64,430/98,012.50 = 98,012.50/x
  3. Step 3: Cross multiply
    64,430x = 98,012.50 × 98,012.50
  4. Step 4: Simplify right side
    64,430x = 9,606,450,156.25
  5. Step 5: Solve for x
    x = 9,606,450,156.25/64,430
  6. Step 6: Final answer
    x = 149,099.02

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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.