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Finding the Third Proportional to 99,784.50 and 118,237

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Solution

The third proportional to 99,784.50 and 118,237 is: 140,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,784.50 : 118,237 = 118,237 : x
  2. Step 2: Convert to fraction form
    99,784.50/118,237 = 118,237/x
  3. Step 3: Cross multiply
    99,784.50x = 118,237 × 118,237
  4. Step 4: Simplify right side
    99,784.50x = 13,979,988,169
  5. Step 5: Solve for x
    x = 13,979,988,169/99,784.50
  6. Step 6: Final answer
    x = 140,101.80

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.