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Finding the Third Proportional to 93,316 and 140,746

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Solution

The third proportional to 93,316 and 140,746 is: 212,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,316 : 140,746 = 140,746 : x
  2. Step 2: Convert to fraction form
    93,316/140,746 = 140,746/x
  3. Step 3: Cross multiply
    93,316x = 140,746 × 140,746
  4. Step 4: Simplify right side
    93,316x = 19,809,436,516
  5. Step 5: Solve for x
    x = 19,809,436,516/93,316
  6. Step 6: Final answer
    x = 212,283.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.