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Finding the Third Proportional to 61,528 and 134,445

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Solution

The third proportional to 61,528 and 134,445 is: 293,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,528 : 134,445 = 134,445 : x
  2. Step 2: Convert to fraction form
    61,528/134,445 = 134,445/x
  3. Step 3: Cross multiply
    61,528x = 134,445 × 134,445
  4. Step 4: Simplify right side
    61,528x = 18,075,458,025
  5. Step 5: Solve for x
    x = 18,075,458,025/61,528
  6. Step 6: Final answer
    x = 293,776.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.