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Finding the Third Proportional to 98,610 and 147,746

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Solution

The third proportional to 98,610 and 147,746 is: 221,365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,610 : 147,746 = 147,746 : x
  2. Step 2: Convert to fraction form
    98,610/147,746 = 147,746/x
  3. Step 3: Cross multiply
    98,610x = 147,746 × 147,746
  4. Step 4: Simplify right side
    98,610x = 21,828,880,516
  5. Step 5: Solve for x
    x = 21,828,880,516/98,610
  6. Step 6: Final answer
    x = 221,365.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.