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Finding the Third Proportional to 69,813.14 and 98,705.46

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Solution

The third proportional to 69,813.14 and 98,705.46 is: 139,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,813.14 : 98,705.46 = 98,705.46 : x
  2. Step 2: Convert to fraction form
    69,813.14/98,705.46 = 98,705.46/x
  3. Step 3: Cross multiply
    69,813.14x = 98,705.46 × 98,705.46
  4. Step 4: Simplify right side
    69,813.14x = 9,742,768,018.89
  5. Step 5: Solve for x
    x = 9,742,768,018.89/69,813.14
  6. Step 6: Final answer
    x = 139,554.93

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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.