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Finding the Third Proportional to 78,006 and 167,681.63

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Solution

The third proportional to 78,006 and 167,681.63 is: 360,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,006 : 167,681.63 = 167,681.63 : x
  2. Step 2: Convert to fraction form
    78,006/167,681.63 = 167,681.63/x
  3. Step 3: Cross multiply
    78,006x = 167,681.63 × 167,681.63
  4. Step 4: Simplify right side
    78,006x = 28,117,127,362.64
  5. Step 5: Solve for x
    x = 28,117,127,362.64/78,006
  6. Step 6: Final answer
    x = 360,448.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.