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Finding the Third Proportional to 93,407 and 147,671

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Solution

The third proportional to 93,407 and 147,671 is: 233,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,407 : 147,671 = 147,671 : x
  2. Step 2: Convert to fraction form
    93,407/147,671 = 147,671/x
  3. Step 3: Cross multiply
    93,407x = 147,671 × 147,671
  4. Step 4: Simplify right side
    93,407x = 21,806,724,241
  5. Step 5: Solve for x
    x = 21,806,724,241/93,407
  6. Step 6: Final answer
    x = 233,459.21

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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.