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Finding the Third Proportional to 113,000 and 153,468.50

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Solution

The third proportional to 113,000 and 153,468.50 is: 208,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,000 : 153,468.50 = 153,468.50 : x
  2. Step 2: Convert to fraction form
    113,000/153,468.50 = 153,468.50/x
  3. Step 3: Cross multiply
    113,000x = 153,468.50 × 153,468.50
  4. Step 4: Simplify right side
    113,000x = 23,552,580,492.25
  5. Step 5: Solve for x
    x = 23,552,580,492.25/113,000
  6. Step 6: Final answer
    x = 208,429.92

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.