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Finding the Third Proportional to 67,417.50 and 97,111.50

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Solution

The third proportional to 67,417.50 and 97,111.50 is: 139,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,417.50 : 97,111.50 = 97,111.50 : x
  2. Step 2: Convert to fraction form
    67,417.50/97,111.50 = 97,111.50/x
  3. Step 3: Cross multiply
    67,417.50x = 97,111.50 × 97,111.50
  4. Step 4: Simplify right side
    67,417.50x = 9,430,643,432.25
  5. Step 5: Solve for x
    x = 9,430,643,432.25/67,417.50
  6. Step 6: Final answer
    x = 139,884.21

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.