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Finding the Third Proportional to 62,020 and 99,014

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Solution

The third proportional to 62,020 and 99,014 is: 158,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,020 : 99,014 = 99,014 : x
  2. Step 2: Convert to fraction form
    62,020/99,014 = 99,014/x
  3. Step 3: Cross multiply
    62,020x = 99,014 × 99,014
  4. Step 4: Simplify right side
    62,020x = 9,803,772,196
  5. Step 5: Solve for x
    x = 9,803,772,196/62,020
  6. Step 6: Final answer
    x = 158,074.37

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.