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Finding the Third Proportional to 70,716 and 148,702.50

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Solution

The third proportional to 70,716 and 148,702.50 is: 312,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,716 : 148,702.50 = 148,702.50 : x
  2. Step 2: Convert to fraction form
    70,716/148,702.50 = 148,702.50/x
  3. Step 3: Cross multiply
    70,716x = 148,702.50 × 148,702.50
  4. Step 4: Simplify right side
    70,716x = 22,112,433,506.25
  5. Step 5: Solve for x
    x = 22,112,433,506.25/70,716
  6. Step 6: Final answer
    x = 312,693.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.