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Finding the Third Proportional to 58,378 and 92,454

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Solution

The third proportional to 58,378 and 92,454 is: 146,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,378 : 92,454 = 92,454 : x
  2. Step 2: Convert to fraction form
    58,378/92,454 = 92,454/x
  3. Step 3: Cross multiply
    58,378x = 92,454 × 92,454
  4. Step 4: Simplify right side
    58,378x = 8,547,742,116
  5. Step 5: Solve for x
    x = 8,547,742,116/58,378
  6. Step 6: Final answer
    x = 146,420.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.