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Finding the Third Proportional to 58,440 and 94,946

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Solution

The third proportional to 58,440 and 94,946 is: 154,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,440 : 94,946 = 94,946 : x
  2. Step 2: Convert to fraction form
    58,440/94,946 = 94,946/x
  3. Step 3: Cross multiply
    58,440x = 94,946 × 94,946
  4. Step 4: Simplify right side
    58,440x = 9,014,742,916
  5. Step 5: Solve for x
    x = 9,014,742,916/58,440
  6. Step 6: Final answer
    x = 154,256.38

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.