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Finding the Third Proportional to 71,352 and 109,714.50

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Solution

The third proportional to 71,352 and 109,714.50 is: 168,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,352 : 109,714.50 = 109,714.50 : x
  2. Step 2: Convert to fraction form
    71,352/109,714.50 = 109,714.50/x
  3. Step 3: Cross multiply
    71,352x = 109,714.50 × 109,714.50
  4. Step 4: Simplify right side
    71,352x = 12,037,271,510.25
  5. Step 5: Solve for x
    x = 12,037,271,510.25/71,352
  6. Step 6: Final answer
    x = 168,702.65

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.