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Finding the Third Proportional to 106,020 and 162,427.50

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Solution

The third proportional to 106,020 and 162,427.50 is: 248,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,020 : 162,427.50 = 162,427.50 : x
  2. Step 2: Convert to fraction form
    106,020/162,427.50 = 162,427.50/x
  3. Step 3: Cross multiply
    106,020x = 162,427.50 × 162,427.50
  4. Step 4: Simplify right side
    106,020x = 26,382,692,756.25
  5. Step 5: Solve for x
    x = 26,382,692,756.25/106,020
  6. Step 6: Final answer
    x = 248,846.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.