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Finding the Third Proportional to 93,456 and 144,948

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Solution

The third proportional to 93,456 and 144,948 is: 224,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,456 : 144,948 = 144,948 : x
  2. Step 2: Convert to fraction form
    93,456/144,948 = 144,948/x
  3. Step 3: Cross multiply
    93,456x = 144,948 × 144,948
  4. Step 4: Simplify right side
    93,456x = 21,009,922,704
  5. Step 5: Solve for x
    x = 21,009,922,704/93,456
  6. Step 6: Final answer
    x = 224,810.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.