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Finding the Third Proportional to 93,336.75 and 143,547

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Solution

The third proportional to 93,336.75 and 143,547 is: 220,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,336.75 : 143,547 = 143,547 : x
  2. Step 2: Convert to fraction form
    93,336.75/143,547 = 143,547/x
  3. Step 3: Cross multiply
    93,336.75x = 143,547 × 143,547
  4. Step 4: Simplify right side
    93,336.75x = 20,605,741,209
  5. Step 5: Solve for x
    x = 20,605,741,209/93,336.75
  6. Step 6: Final answer
    x = 220,767.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.