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Finding the Third Proportional to 59,886 and 99,802.50

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Solution

The third proportional to 59,886 and 99,802.50 is: 166,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,886 : 99,802.50 = 99,802.50 : x
  2. Step 2: Convert to fraction form
    59,886/99,802.50 = 99,802.50/x
  3. Step 3: Cross multiply
    59,886x = 99,802.50 × 99,802.50
  4. Step 4: Simplify right side
    59,886x = 9,960,539,006.25
  5. Step 5: Solve for x
    x = 9,960,539,006.25/59,886
  6. Step 6: Final answer
    x = 166,325.00

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.