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Finding the Third Proportional to 94,133.50 and 183,537

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Solution

The third proportional to 94,133.50 and 183,537 is: 357,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,133.50 : 183,537 = 183,537 : x
  2. Step 2: Convert to fraction form
    94,133.50/183,537 = 183,537/x
  3. Step 3: Cross multiply
    94,133.50x = 183,537 × 183,537
  4. Step 4: Simplify right side
    94,133.50x = 33,685,830,369
  5. Step 5: Solve for x
    x = 33,685,830,369/94,133.50
  6. Step 6: Final answer
    x = 357,851.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.