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Finding the Third Proportional to 133,803 and 177,547.50

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Solution

The third proportional to 133,803 and 177,547.50 is: 235,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,803 : 177,547.50 = 177,547.50 : x
  2. Step 2: Convert to fraction form
    133,803/177,547.50 = 177,547.50/x
  3. Step 3: Cross multiply
    133,803x = 177,547.50 × 177,547.50
  4. Step 4: Simplify right side
    133,803x = 31,523,114,756.25
  5. Step 5: Solve for x
    x = 31,523,114,756.25/133,803
  6. Step 6: Final answer
    x = 235,593.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.