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Finding the Third Proportional to 93,896 and 147,558

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Solution

The third proportional to 93,896 and 147,558 is: 231,888.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,896 : 147,558 = 147,558 : x
  2. Step 2: Convert to fraction form
    93,896/147,558 = 147,558/x
  3. Step 3: Cross multiply
    93,896x = 147,558 × 147,558
  4. Step 4: Simplify right side
    93,896x = 21,773,363,364
  5. Step 5: Solve for x
    x = 21,773,363,364/93,896
  6. Step 6: Final answer
    x = 231,888.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.