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Finding the Third Proportional to 70,368 and 147,540

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Solution

The third proportional to 70,368 and 147,540 is: 309,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,368 : 147,540 = 147,540 : x
  2. Step 2: Convert to fraction form
    70,368/147,540 = 147,540/x
  3. Step 3: Cross multiply
    70,368x = 147,540 × 147,540
  4. Step 4: Simplify right side
    70,368x = 21,768,051,600
  5. Step 5: Solve for x
    x = 21,768,051,600/70,368
  6. Step 6: Final answer
    x = 309,345.89

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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.