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Finding the Third Proportional to 116,254.50 and 164,545.50

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Solution

The third proportional to 116,254.50 and 164,545.50 is: 232,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,254.50 : 164,545.50 = 164,545.50 : x
  2. Step 2: Convert to fraction form
    116,254.50/164,545.50 = 164,545.50/x
  3. Step 3: Cross multiply
    116,254.50x = 164,545.50 × 164,545.50
  4. Step 4: Simplify right side
    116,254.50x = 27,075,221,570.25
  5. Step 5: Solve for x
    x = 27,075,221,570.25/116,254.50
  6. Step 6: Final answer
    x = 232,896.12

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.