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Finding the Third Proportional to 93,369 and 122,557.50

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Solution

The third proportional to 93,369 and 122,557.50 is: 160,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,369 : 122,557.50 = 122,557.50 : x
  2. Step 2: Convert to fraction form
    93,369/122,557.50 = 122,557.50/x
  3. Step 3: Cross multiply
    93,369x = 122,557.50 × 122,557.50
  4. Step 4: Simplify right side
    93,369x = 15,020,340,806.25
  5. Step 5: Solve for x
    x = 15,020,340,806.25/93,369
  6. Step 6: Final answer
    x = 160,870.75

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.