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Finding the Third Proportional to 69,322.50 and 99,058.50

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Solution

The third proportional to 69,322.50 and 99,058.50 is: 141,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,322.50 : 99,058.50 = 99,058.50 : x
  2. Step 2: Convert to fraction form
    69,322.50/99,058.50 = 99,058.50/x
  3. Step 3: Cross multiply
    69,322.50x = 99,058.50 × 99,058.50
  4. Step 4: Simplify right side
    69,322.50x = 9,812,586,422.25
  5. Step 5: Solve for x
    x = 9,812,586,422.25/69,322.50
  6. Step 6: Final answer
    x = 141,549.81

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.