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Finding the Third Proportional to 46,289.81 and 69,131.06

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Solution

The third proportional to 46,289.81 and 69,131.06 is: 103,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,289.81 : 69,131.06 = 69,131.06 : x
  2. Step 2: Convert to fraction form
    46,289.81/69,131.06 = 69,131.06/x
  3. Step 3: Cross multiply
    46,289.81x = 69,131.06 × 69,131.06
  4. Step 4: Simplify right side
    46,289.81x = 4,779,103,802.38
  5. Step 5: Solve for x
    x = 4,779,103,802.38/46,289.81
  6. Step 6: Final answer
    x = 103,243.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.