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Finding the Third Proportional to 88,875 and 124,996.50

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Solution

The third proportional to 88,875 and 124,996.50 is: 175,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,875 : 124,996.50 = 124,996.50 : x
  2. Step 2: Convert to fraction form
    88,875/124,996.50 = 124,996.50/x
  3. Step 3: Cross multiply
    88,875x = 124,996.50 × 124,996.50
  4. Step 4: Simplify right side
    88,875x = 15,624,125,012.25
  5. Step 5: Solve for x
    x = 15,624,125,012.25/88,875
  6. Step 6: Final answer
    x = 175,798.87

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.