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Finding the Third Proportional to 93,148 and 147,599

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Solution

The third proportional to 93,148 and 147,599 is: 233,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,148 : 147,599 = 147,599 : x
  2. Step 2: Convert to fraction form
    93,148/147,599 = 147,599/x
  3. Step 3: Cross multiply
    93,148x = 147,599 × 147,599
  4. Step 4: Simplify right side
    93,148x = 21,785,464,801
  5. Step 5: Solve for x
    x = 21,785,464,801/93,148
  6. Step 6: Final answer
    x = 233,880.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.