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Finding the Third Proportional to 52,160 and 78,490

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Solution

The third proportional to 52,160 and 78,490 is: 118,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160 : 78,490 = 78,490 : x
  2. Step 2: Convert to fraction form
    52,160/78,490 = 78,490/x
  3. Step 3: Cross multiply
    52,160x = 78,490 × 78,490
  4. Step 4: Simplify right side
    52,160x = 6,160,680,100
  5. Step 5: Solve for x
    x = 6,160,680,100/52,160
  6. Step 6: Final answer
    x = 118,111.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.