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Finding the Third Proportional to 74,577 and 110,386.50

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Solution

The third proportional to 74,577 and 110,386.50 is: 163,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,577 : 110,386.50 = 110,386.50 : x
  2. Step 2: Convert to fraction form
    74,577/110,386.50 = 110,386.50/x
  3. Step 3: Cross multiply
    74,577x = 110,386.50 × 110,386.50
  4. Step 4: Simplify right side
    74,577x = 12,185,179,382.25
  5. Step 5: Solve for x
    x = 12,185,179,382.25/74,577
  6. Step 6: Final answer
    x = 163,390.58

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.